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20941521840 = 2433519510271
BaseRepresentation
bin10011100000001101…
…100100001110110000
32000001110011112102000
4103200031210032300
5320342012144330
613342001254000
71340643666351
oct234015441660
960043145360
1020941521840
118976a41348
124085334300
131c8977b755
14102936dd28
1582874a560
hex4e03643b0

20941521840 has 160 divisors (see below), whose sum is σ = 75928473600. Its totient is φ = 5290479360.

The previous prime is 20941521817. The next prime is 20941521863. The reversal of 20941521840 is 4812514902.

20941521840 is a `hidden beast` number, since 2 + 0 + 94 + 1 + 521 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20941521817) and next prime (20941521863).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20941521795 and 20941521804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214096 + ... + 296175.

It is an arithmetic number, because the mean of its divisors is an integer number (474552960).

Almost surely, 220941521840 is an apocalyptic number.

20941521840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20941521840 is an abundant number, since it is smaller than the sum of its proper divisors (54986951760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20941521840 is a wasteful number, since it uses less digits than its factorization.

20941521840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510312 (or 510300 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20941521840 in words is "twenty billion, nine hundred forty-one million, five hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 510271 1020542 1530813 2041084 2551355 3061626 4082168 4592439 5102710 6123252 7654065 8164336 9184878 9695149 10205420 12246504 13777317 15308130 18369756 19390298 20410840 22962195 24493008 27554634 29085447 30616260 36739512 38780596 40821680 45924390 48475745 55109268 58170894 61232520 68886585 73479024 77561192 87256341 91848780 96951490 110218536 116341788 122465040 137773170 145427235 155122384 174512682 183697560 193902980 220437072 232683576 261769023 275546340 290854470 349025364 367395120 387805960 436281705 465367152 523538046 551092680 581708940 698050728 775611920 872563410 1047076092 1102185360 1163417880 1308845115 1396101456 1745126820 2094152184 2326835760 2617690230 3490253640 4188304368 5235380460 6980507280 10470760920 20941521840